31:
70:
728:
761:
149:). This speculation is based on the historic cost of bronze and the level of skill necessary to cast such an object. Some 19th-century antiquarians speculated that they might be weapons, such as the head of a mace or a metal bullet, but other scholars have suggested that the dodecahedra are too light to make an effective weapon.
81:
The first dodecahedron was found in 1739. Since then, at least 130 similar objects have been found in
Austria, Belgium, France, Germany, Hungary, Luxembourg, the Netherlands, Switzerland and the United Kingdom, but not in the Roman heartland in Italy. In 2023, a dodecahedron in excellent condition
130:
Several dodecahedra were found in coin hoards, suggesting either that their owners considered them valuable objects, or that their use was connected with coins — as, for example, for easily checking coins fit a certain diameter and were not clipped. It has been suggested that they might have been
121:
No mention of dodecahedrons has been found in contemporary accounts or pictures of the time. Speculative uses include as a survey instrument for estimating distances to (or sizes of) distant objects, though this is questioned as there are no markings to indicate that they would be a mathematical
126:
devices for making gloves (though the earliest known reference to spool knitting is from 1535, and this would neither explain the use of bronze, nor the apparently similar icosahedron which is missing the holes necessary for spool knitting); as part of a child's toy; or for decorative purposes.
30:
432:
Die
Strassburger tucher- und weberzunft: Urkunden und darstellung nebst regesten und glossar. Ein beitrag zur geschichte der deutschen weberei und des deutschen gewerberechts vom XIII.-XVII. jahrhundert
57:
shape with twelve flat pentagonal faces. Each face has a circular hole of varying diameter in the middle, the holes connecting to the hollow center, and each corner has a protruding knob.
429:
von
Schmoller, Gustav (1879). "67. Rathsentscheidung in einem Streite der Tuchersunft und der Zunft zum Spiegel. dass das Hosenstricker-Handwerk ze der erstern gehöre. 1535.".
61:
dodecahedra date from the 2nd to 4th centuries AD and their purpose remains unknown. They rarely show signs of wear, and do not have any inscribed numbers or letters.
772:
718:
803:
301:
328:
131:
religious artifacts, or even fortune-telling devices. This latter speculation is based on the fact that most of the examples have been found in
788:
392:
717:
69:
813:
581:
497:
793:
139:, perhaps as part of a portfolio to demonstrate their capabilities to customers or as a way to qualify for a certain status in a
465:
157:
Smaller dodecahedra with the same features (holes and knobs) and made from gold have been found in South-East Asia along the
553:
Greiner, Bernhard A. (1996). "Römische
Dodekaeder: Untersuchungen zur Typologie, Herstellung, Verbreitung, und Funktion".
110:
74:
765:
808:
95:
35:
733:
612:
Malleret, Louis (1961). "Les dodecaedres d'or du site d'Oc-eo" [The gold dodecohedrons from the Oc-eo site].
105:
has also been discovered after having long been misclassified as a dodecahedron. This icosahedron was excavated near
752:
798:
141:
50:
748:
54:
680:
637:
409:
273:
230:
158:
672:
629:
577:
535:
493:
461:
388:
265:
222:
161:
and the earliest items appear to be from the Roman epoch. Examples include those uncovered in
135:
sites. It has also been suggested that they might have been an object to test the skill of a
664:
655:
Xiong, Zhaoming (2014). "The Hepu Han tombs and the maritime Silk Road of the Han
Dynasty".
621:
525:
408:
Sparavigna, A. (2012). "Roman dodecahedron as dioptron: Analysis of freely available data".
257:
214:
333:
174:
169:, who concluded that the objects represented the influence of Mediterranean trade on the
455:
382:
166:
123:
782:
684:
329:"Amateur archaeologist discovers bizarre Roman object that has baffled for centuries"
277:
234:
178:
91:
83:
355:
87:
58:
716:
430:
530:
517:
132:
102:
101:
Instances range in size from 4 to 11 centimetres (1.6 to 4.3 in). A Roman
668:
302:"The Mysterious Bronze Objects that Have Baffled Archaeologists for Centuries"
261:
218:
136:
676:
633:
539:
269:
226:
573:
760:
736:
was created from a revision of this article dated 29 August 2019
17:
162:
90:, UK, bringing the total to 33 of such objects found on the territory of
248:
Hill, Christopher (1994). "Gallo-Roman
Dodecahedra: A Progress Report".
641:
490:
Knitting technology : a comprehensive handbook and practical guide
597:
Kilford, L.J.P. (December 2004). "A mathematical tourist in
Germany".
106:
625:
205:
Guggenberger, Michael (2013-10-03). "The Gallo-Roman
Dodecahedron".
414:
356:"Roman dodecahedron that baffled experts stays on show in Lincoln"
170:
146:
68:
29:
773:"History Mystery: Ancient Dodecahedron's Purpose Remains Secret"
173:. Similar decorative gold dodecahedrons have been found in the
49:
is a small hollow object made of copper alloy which has been
714:
82:
was found by amateur archeologists in the small village of
213:(4). Springer Science and Business Media LLC: 56–60.
73:
Two dodecahedra and an icosahedron on display in the
663:(342). Cambridge University Press (CUP): 1229–1243.
460:(U.S. ed.). Loveland, Colo.: Interweave Press.
200:
198:
196:
194:
511:
509:
109:in Germany and is currently on display in the
256:. Cambridge University Press (CUP): 289–292.
34:Roman bronze dodecahedron found in Tongeren,
8:
775:by Alexandria Hein, Fox News, June 10, 2011
492:(3rd ed.). Lancaster, Pa.: Technomic.
295:
293:
291:
289:
287:
529:
413:
744:, and does not reflect subsequent edits.
727:
601:. Vol. 40, no. 6. p. 204.
435:. Strassburg: Verlag von Karl J. Trübner
190:
7:
384:Euclid – the creation of mathematics
387:. New York: Springer. p. 303.
25:
516:Bennett, Anna T.N. (2009-12-31).
759:
726:
300:Metcalfe, Tom (August 6, 2018).
804:1739 archaeological discoveries
518:"Gold in early Southeast Asia"
327:Stavrou, A (20 January 2024).
207:The Mathematical Intelligencer
1:
789:Archaeological artefact types
94:. It is on exhibition at the
75:Rheinisches Landesmuseum Bonn
96:Lincoln Museum, Lincolnshire
36:Gallo-Roman Museum, Tongeren
557:(in German). pp. 9–44.
531:10.4000/archeosciences.2072
524:(33). OpenEdition: 99–107.
830:
488:Spencer, David J. (2001).
457:A History of Hand Knitting
669:10.1017/s0003598x0011542x
570:Religion in Roman Britain
262:10.1017/s0003581500024458
219:10.1007/s00283-013-9403-7
27:Small dodecahedral object
814:Ancient Roman technology
111:Rheinisches Landesmuseum
47:Gallo-Roman dodecahedron
794:Culture of ancient Rome
620:(3–4). JSTOR: 343–350.
555:Carnuntum Jahrbuch 1995
381:Artmann, Benno (1999).
250:The Antiquaries Journal
722:
702:Listen to this article
568:Henig, Martin (1984).
454:Rutt, Richard (1987).
78:
38:
768:at Wikimedia Commons
721:
72:
33:
753:More spoken articles
98:until October 2024.
55:regular dodecahedral
809:Gallo-Roman culture
766:Roman dodecahedron
723:
159:Maritime Silk Road
79:
43:Roman dodecahedron
39:
764:Media related to
719:
599:Mathematics Today
394:978-0-387-98423-0
16:(Redirected from
821:
763:
743:
741:
730:
729:
720:
710:
708:
703:
689:
688:
652:
646:
645:
609:
603:
602:
594:
588:
587:
565:
559:
558:
550:
544:
543:
533:
513:
504:
503:
485:
479:
478:
476:
474:
451:
445:
444:
442:
440:
426:
420:
419:
417:
405:
399:
398:
378:
372:
371:
369:
367:
362:. 27 August 2024
352:
346:
345:
343:
341:
324:
318:
317:
315:
313:
297:
282:
281:
245:
239:
238:
202:
21:
829:
828:
824:
823:
822:
820:
819:
818:
799:Platonic solids
779:
778:
757:
756:
745:
739:
737:
734:This audio file
731:
724:
715:
712:
706:
705:
701:
698:
693:
692:
654:
653:
649:
626:10.2307/3249235
611:
610:
606:
596:
595:
591:
584:
576:. p. 128.
567:
566:
562:
552:
551:
547:
515:
514:
507:
500:
487:
486:
482:
472:
470:
468:
453:
452:
448:
438:
436:
428:
427:
423:
407:
406:
402:
395:
380:
379:
375:
365:
363:
354:
353:
349:
339:
337:
334:The Independent
326:
325:
321:
311:
309:
299:
298:
285:
247:
246:
242:
204:
203:
192:
187:
175:Pyu city-states
155:
153:Similar objects
122:instrument; as
119:
67:
28:
23:
22:
15:
12:
11:
5:
827:
825:
817:
816:
811:
806:
801:
796:
791:
781:
780:
777:
776:
746:
732:
725:
713:
700:
699:
697:
696:External links
694:
691:
690:
647:
604:
589:
582:
560:
545:
522:ArchéoSciences
505:
498:
480:
466:
446:
421:
400:
393:
373:
347:
319:
308:. Mental Floss
283:
240:
189:
188:
186:
183:
167:Louis Malleret
165:, Vietnam, by
154:
151:
124:spool knitting
118:
115:
66:
63:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
826:
815:
812:
810:
807:
805:
802:
800:
797:
795:
792:
790:
787:
786:
784:
774:
771:
770:
769:
767:
762:
754:
750:
735:
695:
686:
682:
678:
674:
670:
666:
662:
658:
651:
648:
643:
639:
635:
631:
627:
623:
619:
616:(in French).
615:
614:Artibus Asiae
608:
605:
600:
593:
590:
585:
583:0-7134-6047-4
579:
575:
571:
564:
561:
556:
549:
546:
541:
537:
532:
527:
523:
519:
512:
510:
506:
501:
499:9781855737556
495:
491:
484:
481:
469:
463:
459:
458:
450:
447:
434:
433:
425:
422:
416:
411:
404:
401:
396:
390:
386:
385:
377:
374:
361:
357:
351:
348:
336:
335:
330:
323:
320:
307:
303:
296:
294:
292:
290:
288:
284:
279:
275:
271:
267:
263:
259:
255:
251:
244:
241:
236:
232:
228:
224:
220:
216:
212:
208:
201:
199:
197:
195:
191:
184:
182:
180:
179:Khao Sam Kaeo
176:
172:
171:Funan economy
168:
164:
160:
152:
150:
148:
144:
143:
138:
134:
128:
125:
116:
114:
112:
108:
104:
99:
97:
93:
92:Roman Britain
89:
85:
84:Norton Disney
76:
71:
64:
62:
60:
56:
52:
48:
44:
37:
32:
19:
758:
660:
656:
650:
617:
613:
607:
598:
592:
569:
563:
554:
548:
521:
489:
483:
471:. Retrieved
456:
449:
437:. Retrieved
431:
424:
403:
383:
376:
364:. Retrieved
359:
350:
338:. Retrieved
332:
322:
312:17 September
310:. Retrieved
305:
253:
249:
243:
210:
206:
156:
140:
129:
120:
100:
88:Lincolnshire
80:
46:
42:
40:
133:Gallo-Roman
103:icosahedron
783:Categories
749:Audio help
740:2019-08-29
473:27 January
467:0934026351
439:27 January
340:20 January
185:References
137:metalsmith
18:Dodecaeder
685:161059940
677:0003-598X
657:Antiquity
634:0004-3648
574:Routledge
540:1960-1360
415:1206.0946
366:28 August
278:161691752
270:0003-5815
235:122337773
227:0343-6993
142:collegium
113:in Bonn.
77:, Germany
751: ·
360:BBC News
738: (
709:minutes
642:3249235
117:Purpose
65:History
53:into a
683:
675:
640:
632:
580:
538:
496:
464:
391:
306:Pocket
276:
268:
233:
225:
107:Arloff
681:S2CID
638:JSTOR
410:arXiv
274:S2CID
231:S2CID
163:Óc Eo
147:guild
59:Roman
673:ISSN
630:ISSN
578:ISBN
536:ISSN
494:ISBN
475:2023
462:ISBN
441:2023
389:ISBN
368:2024
342:2024
314:2019
266:ISSN
223:ISSN
177:and
51:cast
665:doi
622:doi
526:doi
258:doi
215:doi
86:in
45:or
785::
679:.
671:.
661:88
659:.
636:.
628:.
618:24
572:.
534:.
520:.
508:^
358:.
331:.
304:.
286:^
272:.
264:.
254:74
252:.
229:.
221:.
211:35
209:.
193:^
181:.
41:A
755:)
747:(
742:)
711:)
707:2
704:(
687:.
667::
644:.
624::
586:.
542:.
528::
502:.
477:.
443:.
418:.
412::
397:.
370:.
344:.
316:.
280:.
260::
237:.
217::
145:(
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.